Now showing items 61-66 of 66
The Class 5 4x4 Faithful Representations of S4 over GF(2)
There are 9 conjugacy classes of faithful representations of S4 in the general linear group of 4x4 matrices over GF(2). This report lists the representations belonging to class 5.
A Universal Symmetry Detection Algorithm
Research on symmetry detection focuses on identifying and detecting new types of symmetry. We present an algorithm that is capable of detecting any type of permutation based symmetry, including many types for which there ...
Review-by-Few or Review-by-Many?
It’s clear that traditional forms of academic publication are rapidly becoming obsolete. It’s also clear that peer review is a seriously flawed process that could be much improved upon by modern methods of communication. ...
The GF2Matrices Classes: A Programming Package for Mathematical Research
Over the past few years I have been engaged in an intense study of GF(2) matrices, especially of dimensions 2, 3, 4, and 5. The software I used for this study was mostly a bunch of ad-hoc subroutines scattered over numerous ...
The General Linear Group of GF(2)^4
This technical report lists all 4x4 matrices over GF(2). Each matrix is listed along with its order and its inverse. At the end is a summary of the number of matrices belonging to each order.
A Search Strategy Using a Hamming-Distance Oracle
The objective of the algorithm described in this report is to optimally guess a hidden binary string based on queries to an oracle where the length of the string is known beforehand. A C++ version of the algorithm is given ...